Lappan's five-point theorem for φ-normal harmonic mappings

被引：0
|
作者：
Bohra, Nisha [1 ]
Datt, Gopal [2 ]
Pal, Ritesh [2 ]
机构：
[1] Univ Delhi, Sri Venkateswara Coll, Dept Math, Delhi, India
[2] Babasaheb Bhimrao Ambedkar Univ, Dept Math, Lucknow, India
来源：
MONATSHEFTE FUR MATHEMATIK | 2025年 / 206卷 / 04期
关键词：
Normal functions; Normal harmonic mappings; Phi-normal functions; Spherical derivative; CRITERION;
D O I：
10.1007/s00605-024-02013-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A harmonic mapping f=h+g in D is phi-normal if f(#)(z)=O(|phi(z)|), as |z|-> 1(-), where f#(z)=(|h '(z)|+|g '(z)|)/(1+|f(z)|(2)). In this paper, we establish several sufficient conditions for harmonic mappings to be phi-normal. We also extend the five-point theorem of Lappan for phi-normal harmonic mappings
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页码：797 / 808
页数：12
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